Answer: 45, 46, and 47
Explanation:
We will create equations to help us solve. Let x be the first integer. Consecutive integers are integers that are one apart (ex. 1, 2, 3 or -391, -390, -389, etc).
If three consecutive integers can be written as "(x), (x + 1), (x + 2)" then we can create an equation adding the first and the third together.
(x) + (x + 2) = 92
Now, we will combine like terms.
2x + 2 = 92
Then, subtract 2 from both sides of the equation.
2x = 90
Lastly, divide both sides of the equation by 2.
x = 45
This gives us the first integer. Now, we will find all three.
45 45 + 1 = 46 45 + 2 = 47
Lastly, we will check that the first and third add to 92.
45 + 47 = 92 ✓